384078021600 has 2304 divisors, whose sum is σ = 1741712523264. Its totient is φ = 71221248000.

The previous prime is 384078021557. The next prime is 384078021697. The reversal of 384078021600 is 6120870483.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5409549565 + ... + 5409549635.

It is an arithmetic number, because the mean of its divisors is an integer number (755951616).

Almost surely, 2^384078021600 is an apocalyptic number.

384078021600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384078021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870856261632).

384078021600 is an abundant number, since it is smaller than the sum of its proper divisors (1357634501664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

384078021600 is a wasteful number, since it uses less digits than its factorization.

384078021600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 384078021600 in words is "three hundred eighty-four billion, seventy-eight million, twenty-one thousand, six hundred".